Cayman sits next to 4 phonetic neighbors — Caden, Cameron, and Kayman are the closest matches by sound. Most share Cayman's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"caiman, crocodilian reptile"
"noble ruler"
"land of Eoghan (Irish)"
"great house"
"of the Lord"
"belonging to God, of the Lord"
"Yahweh is gracious"
"victory of the people"
"from Airelle (beloved place)"
"of America, American"
"courageous, valiant"
"comfort, ease, happiness"
"red-haired one"
"food, sustenance"
"relating to time or the hours"
"twin"
"beloved of Yahweh"
"gentle, beloved, kind"
"strong, powerful"
Similar sound: These names share phonetic patterns with Cayman — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Carib/Arawak origins, giving them the same cultural heritage as Cayman.
Rhythm: Cayman is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.